Kabanov O. Synthesis of the robust stabilizing system and terminal control on the basis of asymptotic methods

Dissertation is devoted to development of the new methods of synthesis of the robust stabilizing and terminal control systems on the basis of asymptotical methods of perturbation theory. The possibility of the linear system's robust property presentation is shown through the critical value of singular perturbation parameter. The non-robust property is specified by system hardness. The way of hardness estimation is represented. On the basis of the hardness estimation the methods of composite synthesis of robust stabilizing regulators are worked out. For the linear non-stationary singular perturbed systems the problem of synthesis of asymptotically exact terminal control is formulated. The asymptotical expansion of the regulator is built in terms of reduced problem. The asymptotical behavior of the Kalman filter gain with the priori uncertainty of the initial conditions of the state vector of linear singular perturbed systems is also investigated. The corresponding suboptimal algorithms of estimation are constructed.